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What are the unknown side lengths in similar triangles PQR and ABC?
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If two triangles are similar are they congruent?
no: if you have two triangles with the same angle measurements, but one has side lengths of 3in, 4in, and 5in and the other has side lengths of 6in, 8in, and 10in, then they are similar. Congruent triangles have the same angle measures AND side lengths.
How do you know if triangles are similar?
If they have the same angles, but different side lengths.
The what of the corresponding side lengths of similar triangles is called the scale factor?
ratio
How do ratios of side lengths compare for similar triangles?
they both have the same ratios
If the corresponding side lengths of two triangles are congruent the corresponding angles are also congruent.?
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
If two triangles are similar are they congruent?
no: if you have two triangles with the same angle measurements, but one has side lengths of 3in, 4in, and 5in and the other has side lengths of 6in, 8in, and 10in, then they are similar. Congruent triangles have the same angle measures AND side lengths.
How do you know if triangles are similar?
If they have the same angles, but different side lengths.
The of the corresponding side lengths of similar triangles is called the scale factor?
ratio
The what of the corresponding side lengths of similar triangles is called the scale factor?
ratio
How do ratios of side lengths compare for similar triangles?
they both have the same ratios
If the corresponding side lengths of two triangles are congruent the corresponding angles are also congruent.?
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
Can two triangles be similar but not congruent?
Yes. The triangles have the same angle measures but different, similar side lengths. Think of two different sized equilateral triangles. One can have side lengths of 6 inches while the other has side lengths of 20 inches, but they still have congruent angles of 60 degrees. Each ratio of side lengths is equal [6/20=6/20=6/20].
Who can help with this The corresponding side lengths of similar triangles are related through multiplication by the factor.?
It is true.
How do you figure out if triangles are similar?
you compare their angles to make sure they are the same. if so, check their side lengths. if you can make a porportion, they are similar. if not, they are not similar.
Why are similar triangles the basis for trigonometry?
That's the definition of trigonometry. Triangles are completely dependent upon their side lengths, and can be defined by only three values.
If two triangles have the same side lengths then the triangles are?
They are congruent.
Are congruent triangles similar?
Yes, similar triangles are congruent because in order to be congruent they must first be equal. Which in turn is the definition of a similar triangle. A triangle equal in angle measurements and/or side lengths. So, yes.
